124 LearnersLast updated on May 26th, 2025
Factors of 5929
Factors are the numbers that divide a given number evenly without remainder. In daily life, we use factors for tasks like sharing items equally, arranging things, etc. In this topic, we will learn about the factors of 5929, how they are used in real life, and tips to learn them quickly.
What are the Factors of 5929?
The numbers that divide 5929 evenly are known as factors of 5929.
A factor of 5929 is a number that divides the number without remainder.
The factors of 5929 are 1, 7, 37, 49, 259, 343, 2023, and 5929.
Negative factors of 5929: -1, -7, -37, -49, -259, -343, -2023, and -5929.
Prime factors of 5929: 7 and 37.
Prime factorization of 5929: 72 × 372.
The sum of factors of 5929: 1 + 7 + 37 + 49 + 259 + 343 + 2023 + 5929 = 8648
How to Find Factors of 5929?
Factors can be found using different methods. Mentioned below are some commonly used methods:
- Finding factors using multiplication
- Finding factors using division method
- Prime factors and Prime factorization
Finding Factors Using Multiplication
To find factors using multiplication, we need to identify the pairs of numbers that are multiplied to give 5929. Identifying the numbers which are multiplied to get the number 5929 is the multiplication method.
Step 1: Multiply 5929 by 1, 5929 × 1 = 5929.
Step 2: Check for other numbers that give 5929 after multiplying
7 × 847 = 5929
37 × 161 = 5929
49 × 121 = 5929
Therefore, the positive factor pairs of 5929 are: (1, 5929), (7, 847), (37, 161), (49, 121).
All these factor pairs result in 5929.
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given numbers with the whole numbers until the remainder becomes zero and listing out the numbers which result as whole numbers as factors. Factors can be calculated by following a simple division method
Step 1: Divide 5929 by 1, 5929 ÷ 1 = 5929.
Step 2: Continue dividing 5929 by the numbers until the remainder becomes 0.
5929 ÷ 1 = 5929
5929 ÷ 7 = 847
5929 ÷ 37 = 161
5929 ÷ 49 = 121
Therefore, the factors of 5929 are: 1, 7, 37, 49, 259, 343, 2023, 5929.
Prime Factors and Prime Factorization
Factors can be found by dividing with prime numbers. We can find the prime factors using the following methods:
- Using prime factorization
- Using factor tree
Using Prime Factorization: In this process, prime factors of 5929 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
5929 ÷ 7 = 847
847 ÷ 7 = 121
121 ÷ 11 = 11
11 ÷ 11 = 1
The prime factors of 5929 are 7 and 37.
The prime factorization of 5929 is: 72 × 372.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following steps show
Step 1: Firstly, 5929 is divided by 7 to get 847.
Step 2: Now divide 847 by 7 to get 121. Step 3: Then divide 121 by 11 to get 11. Here, 11 is the smallest prime number that cannot be divided anymore. So, the prime factorization of 5929 is: 72 × 372.
Factor Pairs Two numbers that are multiplied to give a specific number are called factor pairs.
Both positive and negative factors constitute factor pairs.
Positive factor pairs of 5929: (1, 5929), (7, 847), (37, 161), (49, 121).
Negative factor pairs of 5929: (-1, -5929), (-7, -847), (-37, -161), (-49, -121).
Common Mistakes and How to Avoid Them in Factors of 5929
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.
Mistake 1
Forgetting the number itself and 1 is a factor
Children might forget to add the given number itself and 1 as a factor. The number itself and 1 are factors for every number. Always remember to include 1 and the number itself.
For example, in factors of 5929, 1 and 5929 are also factors.
Mistake 2
Missing Negative Factors
We often mention only positive factors every time. There are also negative factors, always check whether you have mentioned negative factors.
For example, the factors of 5929 consist of -1, -7, -37, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions as factors. Only whole numbers can be factors.
For example, thinking 1.5 as a factor, because 5929/1.5 = 3952.666..., and it is not a whole number.
Mistake 4
Confusing Factors With Prime Numbers
Remember that factors can be any whole numbers, not only just primes.
For example, thinking all the factors of 5929 are prime numbers.
For example, 7 and 37 are the prime factors of 5929, but it has other factors like 49, 343.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 5929 as 7^2 × 37^2 and missing all the key factors.
Factors of 5929 Examples
Problem 1
There are 37 students and 5929 candies. How will they divide it equally?
They will get 160 candies each.
Explanation
To divide the candies equally, we need to divide the total candies by the number of students.
5929/37 = 160
Problem 2
A garden is square-shaped, and the area is 5929 square meters. Find the length of one side?
77 meters.
Explanation
To find the side of the square, we use the formula,
Area = side × side
Side = √5929
Side = 77
Problem 3
There are 49 packages and 5929 widgets. How many widgets will be in each package?
Each package will have 121 widgets.
Explanation
To find the widgets in each package, divide the total widgets by the number of packages.
5929/49 = 121
Problem 4
In a tournament, there are 7 teams, and 5929 points. How many points are there for each team?
There are 847 points for each team.
Explanation
Dividing the points by the total teams, we will get the number of points for each team.
5929/7 = 847
Problem 5
5929 books need to be arranged in 11 shelves. How many books will go on each shelf?
Each of the shelves has 539 books.
Explanation
Divide total books by shelves.
5929/11 = 539
FAQs on Factors of 5929
1.What are the factors of 5929?
2.Mention the prime factors of 5929.
3.Is 5929 a multiple of 7?
4.Mention the factor pairs of 5929?
5.What is the square root of 5929?
6.How can children in United States use numbers in everyday life to understand Factors of 5929?
7.What are some fun ways kids in United States can practice Factors of 5929 with numbers?
8.What role do numbers and Factors of 5929 play in helping children in United States develop problem-solving skills?
9.How can families in United States create number-rich environments to improve Factors of 5929 skills?
Important Glossaries for Factor of 5929
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 5929 are 1, 7, 37, 49, 259, 343, 2023, and 5929.
- Prime factors: The factors which are prime numbers. For example, 7 and 37 are prime factors of 5929.
- Factor pairs: Two numbers in a pair that are multiplied to give the original number are called factor pairs. For example, the factor pairs of 5929 are (1, 5929), (7, 847), etc.
- Prime factorization: The expression of a number as the product of its prime factors. For example, 72 × 372 for 5929.
- Square root: A number that produces a specified quantity when multiplied by itself. For example, the square root of 5929 is 77.
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About BrightChamps in United States
Hiralee Lalitkumar Makwana
About the Author
Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.
Fun Fact
: She loves to read number jokes and games.
